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Proposition 5. Consider the function f : Z² → Z² defined by f(m, n) = (mn, m+n). The function f is not injective and not surjective.

Proposition 5. Consider the function f : Z² → Z² defined by f(m, n) = (mn, m+n). The function f is not injective and not surjective.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Proposition 5. Consider the function f : Z' → Z' defined by f(m, n) = (mn, m+n). The function f is not injective and not surjective. Proof.
Transcribed Image Text:Proposition 5. Consider the function f : Z' → Z' defined by f(m, n) = (mn, m+n). The function f is not injective and not surjective. Proof.
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